## anonymous 4 years ago derivative of secx derivative of secx @Mathematics

1. anonymous

anybody can help me?

2. anonymous

What's that supposed to mean?

3. anonymous

a derivative?

4. agreene

tan(x)sec(x) This are all very common derivatives... your book should have a table of them somewhere... and I would suggest just memorizing all of the trig derivatives and integrals, it will come in handy when you get to trig substitution integration.

5. anonymous

ok.. sec(x) is the same as $\frac{1}{\cos(x)}$ So use the quotient rule to find the derivative... $\frac{\cos(x)(0) - 1(-\sin(x))}{\cos^2(x)}$ Simplify and you get $\frac{\sin(x)}{\cos^2(x)}$ This can be written as $\frac{1}{\cos(x)} * \frac{\sin(x)}{\cos(x)}$ Which is sec(x)tan(x)

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